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Simplifying -1r + -1(1 + r) = -9 + 6r -1r + (1 * -1 + r * -1) = -9 + 6r -1r + (-1 + -1r) = -9 + 6r Reorder the terms: -1 + -1r + -1r = -9 + 6r Combine like terms: -1r + -1r = -2r -1 + -2r = -9 + 6r Solving -1 + -2r = -9 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -1 + -2r + -6r = -9 + 6r + -6r Combine like terms: -2r + -6r = -8r -1 + -8r = -9 + 6r + -6r Combine like terms: 6r + -6r = 0 -1 + -8r = -9 + 0 -1 + -8r = -9 Add '1' to each side of the equation. -1 + 1 + -8r = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -8r = -9 + 1 -8r = -9 + 1 Combine like terms: -9 + 1 = -8 -8r = -8 Divide each side by '-8'. r = 1 Simplifying r = 1
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